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Finding the Fourth Proportional to 509,225.55, 702,438.93 and 317,906.79

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Solution

The fourth proportional to 509,225.55, 702,438.93 and 317,906.79 is: 438,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,225.55 : 702,438.93 = 317,906.79 : x
  2. Step 2: Convert to fraction form
    509,225.55/702,438.93 = 317,906.79/x
  3. Step 3: Cross multiply
    509,225.55x = 702,438.93 × 317,906.79
  4. Step 4: Simplify right side
    509,225.55x = 223,310,105,407.34
  5. Step 5: Solve for x
    x = 223,310,105,407.34/509,225.55
  6. Step 6: Final answer
    x = 438,528.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.